{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "from PIL import Image\n",
    "from io import BytesIO\n",
    "import requests"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Choose the number of clusters\n",
    "k=21"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3000, 3000, 3)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARQAAAD8CAYAAAC2EFsiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd8f3bd7358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Read the image from disk and transform into an array\n",
    "import os\n",
    "file = os.path.join(os.getcwd(), \"h2o-logo.jpg\")\n",
    "if not os.path.exists(file):\n",
    "    url = \"https://s3.amazonaws.com/h2o-public-test-data/h2o4gpu/open_data/kmeans_data/h2o-logo.jpg\"\n",
    "    response = requests.get(url)\n",
    "    logo = Image.open(BytesIO(response.content))\n",
    "else:\n",
    "    logo = Image.open(file)\n",
    "data = array(logo)\n",
    "\n",
    "imshow(data)\n",
    "data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fd8f3152550>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARQAAAD8CAYAAAC2EFsiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztvX+ottl1HbZOFEkJsahmbFcMowGPXJGiQJGng6pSY9KW\nSPK0MA6UohTqwTZMaCSwA/5j3ECrQv+xi0MxGIcxFkjBtaLUNhahjjJWDC4U/ZhJpdGMVHk+jRU0\nw1iDI8d2KdiRcvrHfR5pz5q11j7vve/9vvcm74bL+zznxz5777P32uu99xtpzDlxlrOc5SzHkD93\npw04y1nO8m+OnAHlLGc5y9HkDChnOctZjiZnQDnLWc5yNDkDylnOcpajyRlQznKWsxxNbjugjDHe\nM8b40hjj1hjjsdt9/lnOcpbrk3E7/x3KGOM1AH4XwF8D8AKAzwD4G3POL9w2I85ylrNcm9xuhvIO\nALfmnM/POf8MwEcAPHybbTjLWc5yTfLnb/N59wL4anl/AcB/VBeMMR4F8Oj2+h/eJrvOcpZ/m+UP\n5pzffQxFJ/dL2Tnn43POB+ecD7o1YwyMMb71zGP1ndeqffWTn/lcdZaaT7qdrWpe+aHOXB1zcevs\ncbpXfHa+d3Z2cUui1iZfDsmN9L5q+yH3uhpbty/p2Z7/+asUXlJuN0N5EcB95f3N21iUMQbmnN8K\nRP29D/8OiNe4vfypzkxnJZ11P69VtvF7FT6Hk0TtrWMsyt+ql89SZ7LUdSkGfA7vYR94rTozSboj\nt38FsFxOOJ0cQ5Vbbs7dIZ/FcUt5dcjdHiq3G1A+A+CtY4z7cQEk7wXw33SbUiGnAlBFzMIJreaV\nDUoHX2TS0RWEK1J3ttLNfql4KABL9ilwVHeg/GX9as75rXx2753Nbv8KSClf1Hl1Ha91+ZF0JlvU\nnVUbO+A+ptzWrzxzzm8AeD+AjwP4IoCPzjmf7fYpWui6T6J+imbWvasJwvZ059f9+w+Psb9Kp4qH\nYwT1XSWzo88re/Yx1/WVfxxfx9o6JtHFjsV1cbfGFTcXKIuzKwFoslXlSWJcSlfXsK5DbuufjQ+V\nMcbcPmUwV5Nphd6mTqvWsl73nOyvelV3vizV5zNTp3f2sFy1c68ysqS32rKij9c727rz0pkpN1cZ\nlpvrmO2KHpdfpPepGX5neYjc7q88l5bVQtqlBjAluPtK4Toon8E6+Wyl03U7ZjgrHalLnBQzlaiJ\nbShZ6dwqJqvF0oEU+8LnOX/VGWqdY3K81vml4rgKnM7OQ4DbPau1x5CT+yuPEqaSKolTwbmvISr4\njtZ3+thW1qX0MmV3AMjJ6s5dTVjlA8e4Y2nJXgbFBKjso9JT31UcWU9XOM7HFHsHmOkc3l996u7Q\nCYN+9UedW2uG6+bYYALcEEAB9MVwYajuzMFfPUftcZ2hnsX2KL11THXIQylx8k2B1n62A1oXa8fa\nVKHzPJ+9ci+KMfEZrF/FXxW5Y0ZKp7LVPV/GJlX0aS37UPPIMaWuOR5LTh5QEpKr7tcFvyu+TlyC\n16Kr9qjOwcnWJQ7b1tmpkqmCnkoyBTyJgSn7HaNI57lCZj/SOsUyFVA7/e5dzXXgz/FQtrEoEOe1\nrslwHLhh1FioXDw2Szl5QDmkG+/zDlicPnUJjhJzF9nHXbE4JsCJx3Y4tqOSb0UcBa52so3du2Mz\n6szOJjWXbHKMT90bxzF15nT3Tl8dS/fE5ztG4nyqNvK8enfM5ZDmdKjcmF/KApodpC7qLqGuU13E\nra97qqhkYh2u0DobnT/Onq6TOhDiru4Ywcq408WFyja5rsxnKn08p0QxNj7LxUXZzzZ2xZnOX8mJ\nBDorsuLvVeXkAUVdWJdQqou6okvJtVrw9VzVsVzR8TqlU8VCJbTbw/vUuq5LqvUKBFRX5zOcbZ0v\nyjZ1R+yvYxBs0+o9Jxvd3bC+BOwuFt1c57MD8WPLyX/l2SUVPYuip/u4mld0MHWD+qPATCWdst1d\nrGNA7LdLLPXJtjP15XjVz8R6OobH9LvGqfPd+cCxSHGqz8rOlCuqoJV/KeZ1X/LX5V7KBSV8tw6U\nrktOnqHswl2PP1N3VcmtnutZHYthu6p+ta+j2CuJs9Kx3KeTFeq7GnsG+dStOe4dO1JF4thHx2wq\nwKR7SoXtWMrKuc5H9tcBXcoNF9/u/Vhy8gwlFaySPfGYBXB3rOtVt3KFkc6u9qoLTHs4wVkX++iY\nSWefs5O7eIoXn6GYR2JCrni6uKZi7MBISYq1A5aq07EgzhUGPI6Ji6nSmZhdAkCOyXXJyQOKkq5z\nOGrKl7Svd6ISZB9nisrJqWh25xOfUT9V0jlaq3RyErsz0rrqG5+TAC3FwX1dcLYz0Ds9aT6BGN9r\nHU95oPKRx6sPKh6OWfE+zjuVa13uHZqfq3IjAKUGLXUzVeS7uL0pUVc6PdPnep6zjccUA+LiXkkO\nHquSCtp1QqXH6XMAyLpUYTl2oJiji7GKHzM+1915Tz1TxdE1JwatxH54nbsvlRvOb9bNY2r9seVG\n/A5FdQJOlsRYWA/r4KLldbswILn9rmM5VsQJpkQBnysYZb8CM1fIyq5kPwvbyP6zDV3RKv1Kh+u4\nqSjTnXA+uPHOXmd/AiXlK7+r+3d7HNilnLuMnDxDcTSxK1p+rntcl3Rd2RWUSmLVQfgCV9iTY1qu\nyNkuFZeUjCyKPXRshZPWxTH5wfvYDnf2in3KXher6gfrUGxT5ZprNizOX7XH5YWyQ+Ua6zg2Yzl5\nQHEdR61J1E7R2X1cdf/OBrde6WUbFLioQqrrubhVPByAOKBkcOU4MStU4hI7sQK2YUVcJ3cg5rq1\nKnJnR7LNsZe0T9moGhI/KztdI1O2qJ/rkpMHlFp06cISu1DMJCF8YhNq/f7ZFXS1qWNSLkHqHsd0\n0pmpc1amtgosdY9iQOxv1dWxDmd71e/YR8e8lJ01bm5czbF+x0oSa0uNLDE9Xst+Kv1dTl9FTh5Q\nugQB/O8DVOIywicqqhDdJRmf3dmqOi6zENV93XoHuK4AHSNiP1xXY2BmIHLMwelhnWpOxcutr/sS\ni2KbElgo+w5tFum+3ZmOiXR+J7kulnLyv5RVReAuxY0pfSnRXWddZRx8zi6pANQ5Dsh4zvnjktvF\n0yW/8kndBdvKPqU1LC7uChBVE1GsYAXc3JgDQmUbr3HvfIZrIInxsF5VCxwHZ+8x5OQBxXWMFDge\n43d3AXVOFddq0rgO5cDRdRjFZNy5ChSS/86fFVGgkgrVNQLu8AkslJ46n2Kp9KiY8CcXudLl7sc1\nn+SL2qdsdO9sjwJYXn9sOXlAAXxC8rNKKHXhCXR4H9uhzmTp2ElX6HV9SrwECInRJN9TrB3b6Vgh\n+79qk2IaDkBU3Fw83BrHbNRaNZ7AUYG4yy9nv8sbpeNQIDqWnPzvUHZRieYoZVdkbu9eFCtFyjrq\n2ZfplOm8us6xGf6sfqhOqwqGmYeL7z6n/Fcd3cWA9ayCWLV/pSj4XhPrcM2n+qliqBpbBzDsC+tX\nutluZRfrVL6nHL2K3AiGojpT6hgqId1Y3deJS7TU7ZVt9T11YeezS2j2KXXllEzc/ZM/KS6sc3Ut\ni7uvxBLd2aqQFNtJDMDtr7YkpsU+qWdem9gbr1e6lJ/XITcCUABdVA6Fed8+z5IortqvdK12yXpm\nGuuobl2TOrtjT1VHAh+lq/PfAXRXqC7R1X24Tp3yQulQoJnyR+1LjcSBQ92vWKHzgfc4P9jW+q5A\n79D87eTkv/KkTqGeeS/PKypfA5yKRXW4mlysk+mrYxOV+vOYK3zF1ByjUeym2ljfHTPhJHRdOiUn\n+6GK0tnN/iW/6tq0NzEXtmGVESgGkuziOceW+LlrhFVnysVjgglwAwDFIfj+WS+Og+a6R12v9qtE\nVoWUOiqfp5KN7eROpHxU5/GnOp/jyaLWdUXGY+nM+sNjyjce43V8F+mu3Zi6ZwXyan/NBxV/Zbez\nV4lqbsxuEpDw2Up3t/8ycvKAAuhOqpiL6pAu4TmZVfLVZy789MnPrvBVMnPS7OsdW+J4pM7TnZu6\nXgJSjo/ytY53iawKQN1dF3dn1woQ1LMSUPLnKptUvrrGqfxJ9+3Aa7W5XEVO/ncoju45pFZA0+lP\nzMF1Jscy1JrUVeqcArjkCxeZ802xM+5ezMBcsbh9DuzqWmcf28Zzzu96vhOOPcdD3YfSwTY5/13O\nON9TjqkzVf4pH3mvAlpn21XkSgxljPGVMcbnxxifHWM8uY3dPcZ4Yozx3PZ51zY+xhg/N8a4NcZ4\neozxwIFnxYJP+1RBuTWKJaiuxmur3lXbduEzFGuo+hmEVCd0yVfj4J7V+aoYu87M69Q5VRLA8Br2\n053F9qk7qWepO+V7qGep++J7YXEgoexbBT2nt/rA666DoRzjK89/Oud8+/z2/9nyYwA+Med8K4BP\nbO8A8IMA3rr9PArgF1YPUF2hS1IVqA5Y6lzd4xiM2quAzxWKS1LnTyqY7jzXobp9KhbJBhUjvjcH\nlopFqHMYsOqnu3cVW6ev2ljBa8XvBITqzMRKugbqmIrykW3m+z6WXMfvUB4G8KHt+UMAfqiMf3he\nyCcBvHGMcc+hyjkRVzrJPl917HP14tR+JS7BXBdQHYj3r4KVAwIFlsy6lD7nT9fJlb/ubjgG6jzH\ndlyhdmcnP1yOqLMVU1OiCl4BAO/pmpran/I83eFqfl9FrgooE8A/GWM8NcZ4dBt705zzpe359wG8\naXu+F8BXy94XtrF8wAGUj7uQ6jIsqsC7QlcFXJ9T0iX7qx6VDA6c2H62ZYXZODscGKruloB2NZFd\nd1a2qS5fPx215yaibFB+qTXuThVIqTMTG1Nnd4xJ+eKa23XIVX8p+/1zzhfHGP8ugCfGGP9PnZxz\nzjHGQZxqA6ZHefyQIlPAsM8pvWq+6lHFoyhjBxjOnlSg6nwHck6PE8UEOruVj6kLO7urzU7vij51\nT5wXyYa6JtnQsQ+n352ZfHPNSt212uv23Q65EkOZc764fb4M4NcBvAPA18b2VWb7fHlb/iKA+8r2\nN29jrPPxOeeDc/udjAKKxA72eXfZqYOqJFz92pCYgFq7Cj7KFrWO11Z/nR+uUyeanYphZcwld2I1\niiU5FuFsUHFWDGdfrxqGut8EgMpWpdvdYV2r1iVfqu9VV7L9GHJpQBlj/KUxxhv2ZwDvAvAMgI8B\neGRb9giA39iePwbgh8eFvBPAH81vfzWywiDAl042xcR0RZMosGM7ys5Dimela3UApoTj4oqG1zoA\n446vzlO669xlOqa697qfxxkkuRjZ5rq3jjmbnY28l33n/V1TU+tUrri4sC1KT2pQV5WrfOV5E4Bf\n34z68wD+tznnPx5jfAbAR8cYPwbgnwP4r7f1/weAhwDcAvD/AfiRQw7rWEmVGtyawI4W1jHXBZSu\npKeuSfPKduULz6uiT+sVUKx0KC40ZSMDj/PD+erYmmNEDvDSvm6tAqz6nNihykmVd8421dC6vcoO\nZ9MhtXNVGdel+Bgytt+/cDK4BCz7XpU8LpHcJ69TOlbPrnO7dICUAOxQm5SNu043ruLA0vmnzjoU\n5N053d2rcaWL51I+dA1kxT5nc5XVXF8FYnUXtPep+e1/9nEluRH/9B7Q1DrRf3VJSlLRqG7haLTT\nl6i0s13p65gP61T0V9mozuMkrLbXHz5n378K4jzOtroiWgEFdU8pbq6zp1glXcxu+T5c3BTTUznq\ncpV9cMCu4n0MOfl/eg/4S3adRBWDS3p1Bp/D6xgk9ueqR53Z6Xf0uqO5Sp8CP9d1WWdKyDru4s72\nuM+ql+1MvqcznN0rjMHFv+p0d+NYjtrfsavEENPdJHaVWNYx5UYACuB/x6HAZZeUZC7hEu1nPUmf\ns6Hqdl1Dnc9F1lFxXtvZ3dm+0qlZr7K5vnfrnT98tisi3pOYUV2nGlJnA4+7MWWLWrNa9CmX65iz\n/dhyI77ypG6+P/Pc/um6TUqW1Ek7O6sO1aX4K4SykwskzdUxJypOrJ9tcrbzO/uq6LpiKCu6OTaK\nxSSdPJ5Ay+nu9iTm0IGqspV93z/dHbKoWKlGfChwrcqNYCipy6uurvYpCugKpL6n83iP6zRdp2bp\nmNbKmq4bu7F0Ttf5Fajs87znUNaQ/HU6FICmc1yxp/iroldrXN51TSGxZMc+OgB1MT2G3AhAYVEB\n62i3676pYHZR57j1zo46ny40XfIK4PH7KhiwPuej6sjKFtat7mXVT3WeOndfl2xMRcXsb2V/B9pq\nf9cseE41p+6sFcC9DrkRX3mU8KWoi1IX6Khgpf5qns9JReGKlb9mpL3OT7Yr6ahnrXTflOxss9K5\nAnaHAJ36utN9rVE6930roKQApxO+W7aLP9P5bs6BJNtQz92fXUO8DrkRgJKCwBefLkx9xWE9HHxV\nOCvvjtbW86p+/nG6lD4GGtajkioVrComBaL8vhJnlsSK+MyOQSUfFTiqhpNsZBv4HhR4JOBnIFIN\nLjFBtoGblbpTF69jycl/5eGEdQngAubmqv59zq13haJYSko6ByzKT553a1ZYjrItxUKJiv1qwfB8\n6rIK2N06d75rKp2tCry4SB14JGbX3b17djYk3S6H3N4OTA+VG8FQlHAnquMrtLIDAcde1Ho+Y7+o\njmJ3Rc1AxgnM3SyxmRWW4BKyns2JnViJAiCWBDTq3cVVxZ5/HBPsiq+ekdhKB4Bq3cqe6pcClhVm\no+y/Djl5QEndZJ+vga5r6idTwLq3npMuW3U5R0lV4aVu6phGx4CSH66AWcdKp3Id1sVhhZG4Mxi4\n1N2puChdVV+1WdnLezjH2Jb67pgBr3GA7eKR1rmccePK1xU7DpGTBxRA/85AXb66eLV2/1QXxkmk\n5pRtriuwrqRTdbJkP9uhCqyzeUVX9cEVzwpLcsXUMRe2q2Nhzn7nowJYZx/rVgDC7CfFLDUABUAd\nKCm2pc69LrkRgOK6sqN3LmDcnVz344RJ1DYBheusSVaLW9mi/FU6VBxSUTqgUP6qPa5gXUG4guWz\n1Hg9jwvbxcbZ5FjZiq7UmLo99fzLAEGKvbPjWHLygLLSzbqET4C0P/PYCivqQCIVk7NTsZlU7M4u\n16mcvavMrEvQpEPF1jErpyfdtdLvmkddp87js1UeKrah7sqBqbJJ2V/Xsr18Vs2hFMsE6leRkwcU\nloT2btyxGO5krjtykrmuw/uqHY5+7u8OBFaSQp2lxlPXWi1QBWpuP+9RBe38UfFQ8U9rHNtQgJPu\nhGOmQMoVu8o7ZQfPqXfWUZ+VDXU83c8x5eT/bOwcVsmoLqRLegc07kze1xWIS4q6npPyUD1Ob0p0\n52u3p9qT4s02qNglW1bvRelQhZ/8cbYeEms3lu6C13fNwrEaB67Kng6srionz1C6TpqoaJfIzAxS\nl9731YtfYSsqSVQnTomcwIbnFMtJ7zzHvrGdzheV6CuivjqoO60glu6c7XP2KFZ6CKDVPa64FZik\nfOE8VP4qP5lxca5c5l4uKycPKLvwBbpL6bqY07l/Vv3uMhQAdWCkEsN1oU6vWlft57EEKmmObe3A\nc9eh3lWyOzaU7st1aAYQ56NiVjyXcqi700MKlwG7jjugq2scA3Q55GJ2TDn5rzyARmV+TonACM46\n1J567kq34+fOLrV2NcGcb+68Q/xxVF0VoWNKbk7dg1qvzleimGgHoE6PYq9Kh7IpsUs3ps5W7+6c\ndIYDGh6/DkC5EQxFBStRXFVAXfAcKHQgVbs328LdtCtg5zO/u68t7A9T5pS4dY/SxT7y2q5L7muU\nH843Lgr+VIxS2co2JJt4XSpoB9QsieF2Rd/lxa7Hxc0xy65JXlZuBEMBfAde6T51P+9htF7pGAnd\nO+bjzlZnrpzR2ZfArErqjGqNA21VPK5jJrsU2PH8qi625RCw4fNSYaZcU8zAMQYVL9cAHDCoBqn8\nODZLOXlAURfYBcQVKa9fSXQFNAmEEuA59pTYVvLd+a/OY3FJzHMpifl8FTPek7r4KiA5YOaz+Uy1\n390h+9cB4yEg5eKu9nXxYnvdmfs65/+x5EZ85QHWaD6vd4E+lF0wBVXUu+pgWzl5FMjUn3TZiaoq\nn3k++Zv871iPenZFk545zgpEOWYMfqzH+ej8cQ2h+sL36vxh3Q7kWQfvZbaiYsHi7sTF/xhy8gwl\nFdfK5fCY6sJKX+qyqfO7DlqfHYtxgOds5IJz7K1jU8qf1b1pPfuX1ibWoXznuDkfHBgmlqUKNMVc\n2afi48BT6egYljpDxUrZmQDzqnLygJLYyEph1Pl9T9e56r66x4lbt9INOuDiMT6PfUwFp2w+JCnd\n2bze2blaDEpHAn/2MbGQlE9dHtVzUnErJuHikGxT+vmMLh4cl2MDCMvJf+Vh+reP1bkuCeqeXRxN\n5PWKaqrulbrKvndfx8mkWA3rYKBKyVnjlXzkeZVsne8OqNh3x2icJAbE98/nqjFV7Mq3ehfKN5dn\nylYXK17L+dPlsvJHAY3KwXrmdciNYigJXRUi7+NqrOp0l6l0KgbiujiflfxTSZQYjbKB9bGP6j0V\nXWJtSu8Ki+p8ruOq0FfOUf64O08+qPtNDFTZqubUOpV37KNax/4kpsbrrgNUTp6h7OK6vwsgv6tL\n6gCq+3TAwUzEUdzVZ+Wbm+vAQJ3hQLeynVR8DLZcKId0RqfDsQcFjElfypEuJ5RfKhdXciMVvwOa\nfZ1jTwwWLodcgzyGtIAyxvjgGOPlMcYzZezuMcYTY4znts+7tvExxvi5McatMcbTY4wHyp5HtvXP\njTEeWTWQA66AQQWv7q3Pir1UUQlWLzB1dN5X7avjzgde4/zpEp/t48RViafsVYWQ/OZz+TklcUp+\nZ08SBWTMDpRNCRSY1bgmoc5Q7y4+dY2zh23meLgcSucfRWo3VT8AfgDAAwCeKWM/A+Cx7fkxAD+9\nPT8E4DcBDADvBPCpbfxuAM9vn3dtz3ctnD3HGLN+1p/LjFV9rFvt7carHrdvRb/6UWu6czu/Or1u\nzsVvxYZ0xkoc0z26WK/eY9J5aIwOyR8Vo853t17Fr9NNNj/Z1eLqT8tQ5py/A+DrNPwwgA9tzx8C\n8ENl/MPzQj4J4I1jjHsAvBvAE3POr885/xDAEwDe0529nf+Kz10qaq8wBNWBWLc6Q+mtXYqFu5r6\nVPaxPY6y8rmus/Ozi5Prbnzmyrzynf1mdlPvpdrJ3VqJWuvsrLYmOxMLqDanGLlzlb+H6HB5qtiS\nYnircb2KXPZ3KG+ac760Pf8+gDdtz/cC+GpZ98I25sZfJWOMR8cYT44xntzeeR4AlopPffIzX7Qr\nDndJfGGuwNj2lXXquQNBtU8BRgLEFXrtfN7XqGRN9FoBK+/rColtrb7WM9xc16S4Gzu9VYfK12qj\n+kx3owCOz3UNYqWJXlWu/FeeOedOm44ic87HATwOAGOM6Yrfdb1UJDy2nfeqz6voIV9etSZ19wR+\niUWkpF1JHFf8yTd1TmIKDiRYTye1sBMbVLanO1LPCoAco1Fz1Y4aIwXI9Qz2l/1TTK/zsfPlWHJZ\nhvK1cfFVBtvny9v4iwDuK+vevI258VZc0nCR1iRLnT8lrdqbukLHiur4Std2bIRt5H1Kv+vSnd2O\nzbi9bEu1PXXTuld15dRI6npnc9WhWIrSpeKhWIaK36ENiyUxyo4B8vmcux2gH1MuCygfA/DI9vwI\ngN8o4z88LuSdAP5oXnw1+jiAd40x7hoXfxF61zbWiutEvAbwXWKfU8LUlM9VIKESWhWdAgiVfGp8\npQM5wFFd3HXWahvbz52Uz+BzlS5VSF1BdnfubGJ9qghd7FlU3Fyz6hheanDOx3qPCphd7vE6JS7n\njyLVMPUD4FcAvATgX+Hidx8/BuA7AXwCwHMAfgvA3dvaAeDnAXwZwOcBPFj0/CiAW9vPj3Tnbnvm\n/jPMb/XT3DjwLzkj/La8W6/OUfqS7U7nVexwcXFzHLfu7BV93biyfcUnZeNKXqj17v7S+kNi1K3r\n4rvin8u/hTs72l95xnVRn2PIFhAAsGyDx9M7j7v1ab6eq+w4VGfVq8bdns5f1bVW/U+6lC/ujljX\nqu9unTpr5WyOgbNfxeqQuKzKZfK3+unuo9unfNo+n5pzPrjsQJCT/6f3wKuTuI7zOhaVLIqGq3MO\n/XQ61acqMk4MRZvrHud/V2T8qc5zZyp96mwlKk6pyDtQ6M5NAHsI4DrQ7Ox0xaxAjPU5G1xzUT67\nszodV5GT/6f3XPwODHbZg857awHWNXVe6U1MZaXY1WU6fa6LONtc8fLZbl3yI+nsEnwF2B0gOeBd\ntYnjVdcmsKsxUHfu7pPXJCaTmImz0zWbPfadT+qOrwtMgBvCUADdYdX8ajfY99S9qcsp/S75HKgk\nEFHvq51MzfMnF39KcmdLt0adyTFToKn84jE3z3pcsSggSEzS6e3AkhmNs6WuU7mj1jpJseYG5IDs\nWHLyDAXQxVXHVtBbBdt1RTXG7EZRU9bRJazbxz6mwq6fXTJ3Hb36xbFdYUZ1ju+H11S/+S5WOq/z\njW1QZ9c9yT8GMqczna+akNuXfFS2ODamzuDcuC6mcvIMxTGT1DH28UTJE+NwNqRuovatrGVbEhgk\nIOt8qHPMKpz9ThKQcsw5idNZq74w6Kx2b3WeimFXnOoe6j6Or2NznY4u9xVz64Ai6T2GnDyg7JIS\neBdOjkQd1SWsJF8VpcOtq7a6S3WUdJXOOp9VPNK76+LqHBcTZbeyTd2XOo8lsYvVonG+Of9U/vGY\ny0/2LYGnY4OsI8VI5XSn9xhy8oCSitW9u0JLl5PQ3jGHlaR1wLHiq7KVz+rOVcnHe1yn70AjxZDt\ndsXiGIjyge11Z7u7UrrT3bPvHWNi++tcajTpfuu4y0eVD2lshdldVk7+dyirdNUVKfDq4DpWwl3H\nJYayi2lwJ8kntrPTsZ9d7Tvk3Hp+Xadi2yVsjVMH5gr8Ezuq42wHjyUAYr8S2K6K8ynZq3SouO/j\nTnddq5qpylvO52PJyQOKStzVBF/pxtw9uZskpqAut4JKAhg11hUBF0q1f5WFOPudby4+SRfHo+p3\nBcX71T2+rnODAAAgAElEQVQ4NqJAQsWHbavreU33Xm1iHxK4KHEAl+Kh1rl8U7nszrmqnDygAK9G\nWi6e1b1qn7sAVzS1eBWDYZsUOCk7OhtccjoQ4nkFNirxU5KpTpkAjnWn4ueYdgCg9q522wr8XR6l\nzu/2q8akdKpzFcird5VT+zvH3oHmdcjJAwoHSAU5dTOmzd0F1DV8pkseFmevAx32t9rlmFQXJ6WP\n4+UYirLf6WF7VMImkOCkTzGpexKQuvcVVuT86ZgR59qKjZyj9TzXYNy9ub1sy3WzlBvxS1lA/86i\nzjug4Tm3zhW+k6Q77e06sNLVdTkHepzkjv7zOQ4keU2XjEzBXZFxU+ioPduV1q0UjPPLsdiOOa4C\nLK93zEmBWp1biVfKh2PKyQMKyyGFfBVU5gt1DIDt4vnuq4S6WHXRh4Kem1fFs+qjA6Vk+4ovrKMr\nOLWPwUvZrs5xYFvHVcE7ZquYTCpwBwYrwFHnnLgmwkz4WHLygKKYCF+yWsfixlOhcudPF6uKKLEq\nV8z1fEXBu68pjrk5IFZ2sA91fQcWHL8kqeMq+9y40qvixWMulp2t6WwH2GqN8pd1sE2cm2xTykO3\n5phy8oAC5F84uXWHjqeApw5T33mex7kwWFcHVPzuEnG1oOsaxxCqbgfuDoSVHao4nF5+dme7WPB+\n161VPHh/x+I6ZubAws13bLHayGMu3ipmx2QnwA0AFHUpCUz4eZfuItP6le7OY1UP63R089CEdfZ2\nnTsBzwrrUTp5zu1xAOFiwuvcmsRauqJxsXJApsTdPQOYy+e63jWYLpYrd3ZowzlUbsRfedTnapKo\nwqtzqvPuzypxXeG6hN4TinXvP8xY6phjPazHgU09t/PNdbtaFNWuFRtVwqeYKlBRc06qr9Vmnq+2\n8H12jIfzh8/nmLhnZ0dnr9OTgGsldseSk2cou6yiqSvwRJHVhXZdZdfRdcQEgCppHUgoO5Q/Sj8/\nK6BxcemSvNrdCceadaaurHx30oEWA0fXrLpcSCCa7olBoCv4FCd3R2yTut9jyskzFOewS5q6JyVG\n0nNosBVj4bnUhZV9zlbHCFR3Vqyo7ukYkPPDsbr9XQF455c7R63houjGlV08x/GqOl3cUyNx+nhd\nZ4dieE6HunNmmXXvscEEuAGA0tHLuk4VjVpbxznxHUgl+xgkahJ2ic00eQU02P5kr4qJAsA6p4qv\nxjcl5kq8VCzUXN3TFasClkT1HfgwoLHPqqjVHufnIfml2MwKY6zCe7qmclU5eUBxiXUoXeNCT5Lo\nY9cl9vFUAKoQmWF053Sgkzqb2svnchE4mxSo8/OKvUrcnLrHQ2OsdLKdbL8CBY6JO0OBjhpXNihf\nXQ6nBszjh9bQityI36GoTp66aNLh1rlLdtSSi7CO788r3ShR3PqumE3VwX6opFPnJP9Wx1WhKTud\n/co+54sDeHV29dOdyTnEPqq8WPHHjaln1zSVXS5XeL67w2MDyS4nz1AA/4sw7upuTypA3s/doHbD\nFXq40nHTeW4fJ6+yk2128VEFosBHnVNFFbwrlA5gV7szr+/0OsBO+VHnO0anzuU7YnbD98K+sJ4E\nDqoe0h0ooD2mnDxDURR7FdFZT4fKqlupNZ2uVTBL3dDt61iPYwR1LgGRenZnsq0qqdX5zhclSm/K\nhWSvK6IUI2Vryj+19tBGxPmc8tuBHb87BnZspnLyDKUidMdE6vsK3Xfvddx17rqmK3LW52h4p6fu\nTfvqOBego9CKxaSOmbqhAsnEAOteZiUulspnZS/brPxlG1eKzBW2Ylj8rHR0c1wDifWoOHWN8lhy\n8oCihBOGxzl5OUl5r0Jtt1YljgMvZ1vqaI6S815VtI4W8zMnKYsqSNal9LNd7INqCq4gXQG4YmDQ\nO7R4ElNzIFVlJUbO7xXwPNSvdL91zQp7OkRO/isP4Au2o9fuElzXde9pb51jYZ31WSWl8snF4TLF\nnbqgOz/5kOzrbOvWdYmuin7fr0BAzXUg4FiHsiMBIMeLmQbvYRs7lqbWq3PV+mNLy1DGGB8cY7w8\nxnimjH1gjPHiGOOz289DZe6nxhi3xhhfGmO8u4y/Zxu7NcZ47BAjVbfm5/29XpS6ME4OV0BVH59R\n16kunOxnvYr5qAJg6boas5qUxOps56+yVzGuBMDqrFTAbpzPUMVd19ezVwpVsckk6p7VWY7dVNv4\nnXNa6VPn7Gvd+atAvyy7se4HwA8AeADAM2XsAwB+Uqx9G4DPAXg9gPsBfBnAa7afLwN4C4DXbWve\ntnD2K/5f5Af9v9CP8P9E7+Z5XO11+niNs0+dodamM6u9Kz6s2Nr5n3xeja9bo9Z3+1fvJp3pPlfi\np+xPdjsfV+ObbEo/zr+UO7Tmya4WV39ahjLn/B0AX+/WbfIwgI/MOf90zvl7AG4BeMf2c2vO+fyc\n888AfGRbuySqG9WOqbrmvnZ/5y7N+uu+KkoXd0PWo5gPj6/Yy+v4nDrvYqC6k/K/ruE9bI+yoe5T\ncWRxMa86Vu5V6VUM1XVoZbe70xXhvc4eJ8rv+ux85k91zyr/j81QrvJL2fePMZ4eF1+J7trG7gXw\n1bLmhW3Mjb9KxhiPjjGeHGM8SeOvuhjBaAC8Mqn29/0zJSyfVd9VUe/jK9Q4FTXb5airOl/Z7fxX\nttR3lZgM3mxDemaAVLFx8VIxZYBwMeA9HYjymjrO9+J8TbmUYuJ8Vueou0hAs5Izx5bLAsovAPhe\nAG8H8BKAnz2WQXPOx+ecD845H9zeZfCrqMJRLMYVRJeoXTGkS3JAkwpV7ee9zj6nS/mvurZjJqnD\ncsFxLBNoKN2pg7pu73IgxWOlO3Ns3X0oUEqs0elRPisd1T6lf4URHZudAJf8K8+c82v78xjjFwH8\no+31RQD3laVv3sYQxlfO28+KXaLYtETrVtc5e5xt9d0VpdqXCn4/a6VwucMmO3md80t12P29dvK6\nZtVvB7ocA2W3i43zufpzmebBtiWwTIDcNZQEsoe8K8Cp86vAuiqXYihjjHvK618HsP8F6GMA3jvG\neP0Y434AbwXwaQCfAfDWMcb9Y4zXAXjvtnblLPmZ1nOC7+OXYQKO9aR1Sa+yzxWNeu7GugRxBbe/\nsy62T4nr0MoeBjv1s2p31dndTWI/qeGsiMu3ahvrUwCQbFPNRp2n1tS7uQ5WUqVlKGOMXwHwVwF8\n1xjjBQD/I4C/OsZ4O4AJ4CsA/iYAzDmfHWN8FMAXAHwDwPvmnN/c9LwfwMdx8RefD845n10xMHVl\nnncMpuoyPlqEd8WmbHR2q2TgJE/MwyW20tOdy74lUHJnJyZS/Ve+KUag/OF1K0DpmIg6h21R7ME1\nA7ZdxdXpT4yF/WHfVJyU/12eJ2C7qozrRqyryLj4s5alZ44Opm61r3edyyV1xwKSnfXsej7bsqJf\nFbjbuwJcXXd2Bb6SNx07WbE73beLhQN3FwOnM4Gz0618cXa5/axDidPrGmzz/NTcfmd5VTn5fymb\nwCQVrQMb1qs6E88r/U4f28xrKlVdAS7eqwpNnaG6s+rAKfmUTZcBEtap4l3tU3eywlDU+lTEKp/4\njBQj9kHF1cVE5Vr138Vf+Vwl2bqq4ypy8oACvBooEup27GT1rJXkTXudnpSw7pwENi4Z2S43xkXH\nhbiqtwNjBvAVf1kHz6k1CkxcMbuiS2xE+c1gpEDNNQqe64Bk5Sy21cXInXEVuTH/caDqNqoY9s9V\ntqIunZOlnsd7lZ1sn0vQmoz7c0py5T8/O9/3NQ6UFBikZFspRuV3xzScrWovF1Yd73TzOqW3/uxn\nKPtTXu3zCqAVi3LNw+W5Yz11T3fnx5QbAyiJTgI5CRSac7Bdx+QLd0i/YnPq+mx31Z+6OeurY4ox\nuf0rHdqtVbF2ZzAAJFbnCkcBYwcsK/51AO72892qYnVA7XJCNYLEZur7CvtI/l1FTv4rD4OAAwu1\nHng11U4dcrV7VnEFUs90Z6huxWv5HHWmS17FutR5DjQVWKizOObOL+XDCoCybgfkq+yBbWS9XNQJ\nmN05K0DpfF7JQwfeLrdW9VxVTh5QVOI5tuKSNyUPn8NnpA7swIvnea2zU/nn5va9q2wh7eVYpsJ0\nPqvxpG/fw2tdB1agUvUkoFGgp/TXT2Ujx8K9uzWOSSYAr8/J3pSLqVEdW07+K09NIk6uVEyKMtb3\nNK501jF1qa643QWr7qfOZP/Zx9SB9jWuKDu7XKEoPzv2oWxLepXu/TkVtAOlDkzYJ2e/yzG+Hx5T\nvqm5FE91Hq9J+Vr1O/+uKicPKAqJa9C7S697dlHPqnAVcFX9rMMVtypSxRSYxfA61bGUT9VO1dlc\np1R2uYRke+qZHFMVh7qe57jYXDEqvQ4MFEA6NuB8UgCtmgrPK6BJzCKBD5/Ja/gsdUcqBseSkweU\n1FFd4rK4y9zn+OLVfEo6lQQKCHg/61U2qKJW3ZZjdmiiOB0JkDogVaBZY+L8UHHid7YpsSk1lwpM\n3Xkdd+exbereVG4pHbuNLu9STDv/ElhfVW7E71AcbVSJnjqCSi5XmK5Y3JndueoMJw6cElBwgijG\nocaVrY5luJgkBufYVAJTpUft5Zg4hqDi5JqEi43yS/nsmoXS41hQd2eKoagYKX9SLRxDTh5Qqrjk\nWy1aVTCpu7uk48tyoJIu3ulVCdid6/xLgNsVSYppB9AKABNTSM1A6VX2KTvdeAd46gx3t7sOzgG2\nrWsuXRNUAJ8AwTVhXtPpOVRuxFeeRAtTJ6hruaM6apgu0RU8r1F0161z3bX6qCSxNv5MwKs6+kq3\n7sCkjrmk7hI5FQPr4HPUs2JwPM9jLk94jQKsBGIqt9TduMbBd6d8YFuUjmOzlBvDUBJTUJ8uuVkc\nW3GXqZKIu7DrsPVMdQ7Pse6VszuarfQfYsPK+rSPY+LAjvV2QO50XOYMBs3OZwUKDpiVLnW+u+O0\nvouV2uMa9mXl5AFFXYQrWBdU1lcpKo8nMEiIruj9Cm3t7F2d53UcK8fKFEg7Ntd1XnWOK9hDY9Dd\ngbpT5Z965rtnO1VxO99ZrxIFcB3jcw01xTjlqwK0Y8jJAwqgO0UdT11pfwdyl1afKSk6xqFkpTuk\nDqrOcLFx+pRuVUB1vwPILg7Kb/XubFNFrmJR16tx57eydX+vMV1hcKv3pvzr8iwxjjTu7ibZfVU5\neUBZoaiq+3c0MCUIn6vWO1Di/a746h7XWWsnTyDKBaCEGV5iIQ6AXQzVuBtLLG2FIarx6qN6VvuT\n/Sombj9LxyiSz44NJWB1ecx6VawSkF1WTh5QlCjKt9o51Tvrrbp5X2JDiX6qd6W3A8GuY7OsMBb2\nqwNYtqnOq0Rl/xgUEz13wJdYU+df2rvKFDrmk+KyAgBKp2JjhwDCCsBdVU7+rzxALkyVYI76J4ZQ\nx7pEVWwoJcshF1ftXKG3vFYVpvJbgWwHovua5I8CXKffNYEaT3VmB37dOgUiKqY8x3fjGGQHvup+\nFEvpQKjTx3F0Ph1TTp6huO6f1rtL7Shrumh1RgIaVYirfihAU8VebVYJmexlG6ud6RzHJhwL6cA5\n2alsU7awnrq36/wqvom1qOahYtUxE5dryla2V52hQIeBw93BMeXkGUpC0ITcNagugKqbOhDYP7uk\nV7a4TlY/EwioREkxUf6p8VQQ9VmBtGNSqehZapdPTSCB3AprqDa6e3X287yzQfnKulTOMEBUwOI4\nKb3qPBUDBTLXIScPKBwA10X2OZWYTAFTsFdscV0kzVX71FmcSNwhVWfkQuKx5Mf+6bqlOlftXTlP\nxYZ1uo6tCkzpcLapM1z3Z/9VLqnz3JzLW9bNa939OGbk8trlYPLhqnLygNJdaOpKvK5ekGIAdT/r\n7bp5KgBmTFX/6uW6IuFYuXO6IkpJzf51caifrlh5bb0f3qeYiOvMSjfPKR08rgCd5/k8fk9ArcDc\n2cPz6nyOg8uldB/HkBvzO5RduiJMSaeShXXUxE6XyftSh93n1YW7xOMiUYXGRejWH5LoLB0Q1TNc\nvJ391Z4OLFinKxrHGtR9KrBxZzgb1V0pSXfE53b763oXd+WLisexGcrJAwpLClJdA+Rfwq3QQaU7\nFaQ7W+3vEtGxDeW3KnpXDEpYfwe2CiSrHSudVhVlAtcVQKqfK8DrfFNxV6IYkYqTkpV8ZH9do1EA\nwvsZgK4DTIAb+JUHyL/LcGi8fyZW4ViBWsP21b2payg9K4xIJR6fpfTs61aSR+lPvlcbWAd3/922\nlZi6Odbp4uVsU3HZP1WjcrpTDjn7VT4o8GK767M6N4EW+6pAbHX/qpw8Q1HUUq1JoNIlDOt3ndMx\nGHXp6YwVAHSgyHFRelcLtO7f51bj7fzpzkrSMYhu/T7WMRIVp1VG54o6gURqLgoUO5vTHraHz015\ndAw5eYYCrHVYd4ndBbuuta9zYKJAhJMqgcsKO1oBk3ou6+m6D5+lOrZar9a4+1F2OKahCqUD3+Sb\nA/WqqwMfxaw6sNn1KqZWz0uAncAv7a2+sV0JsI8lLaCMMe4bY/z2GOMLY4xnxxg/vo3fPcZ4Yozx\n3PZ51zY+xhg/N8a4NcZ4eozxQNH1yLb+uTHGIysGukJOwLGLK2i+3Lo2dSceV91qtau7Mx0gsN9J\nvzpPdcWVxEv+1uJg4HUgvO/ln8RInA9s+0r3PaQw2Y76nsCPm4FjRA5cuFm5/comBYQMbsrmo4m6\nXHLyHgAPbM9vAPC7AN4G4GcAPLaNPwbgp7fnhwD8JoAB4J0APrWN3w3g+e3zru35rubsWX/GGN/6\n3J95vo6rNe6n6k5r3DpnU7Jf7Vm1I707uw/R7eKYfEjrDjnH2ZfWsj2XufvL5ITKC7Zz5T2NHeKT\nistCnj7Z4cDqT8tQ5pwvzTn/2fb8JwC+COBeAA8D+NC27EMAfmh7fhjAh+eFfBLAG8cY9wB4N4An\n5pxfn3P+IYAnALynO38XhaSqi9Vxh/rqve6rc/ypGIxiDq4rrHQl5zPb1XUuJSpOnR/1PNfR015l\nP3dw3q/8cGurPn5Wdq7Yx36p+6znKZZVbal+O7bK8VlhU10eKz8PyZdD5aBfyo4xvgfA9wH4FIA3\nzTlf2qZ+H8Cbtud7AXy1bHthG3PjfMajAB4t7zK4fHmKGq5eIgvvd8ClzmYdyg8FBHzJiuKz31xc\nDiwc1eYYOfvVuW68xlbZkeKtdPOaBBZqH+tQMXe6lQ0J/JKefd3KnaeCV3nm7pr3qbkunofK8i9l\nxxjfAeBXAfzEnPOPyaidOl1Z5pyPzzkfnHM+uL1LdiHssyjOa6re/bl+8hlM61JnV3YyQCg93AEd\nYLoEWgGJejY/dwnniovXOkbj7jD57Hyo+5Xu5KPS4Tq5yheXAy4v0plqXsVL5Y67t6o3AbLz+aqy\nBChjjNfiAkx+ec75a9vw18bFVxlsny9v4y8CuK9sf/M25sZbcfTPAcv+6ToSz3fUsCscx45UMlZ9\nXcG7y+4Suvqlkq0+c5xcoit7k51sQ2IDLk4pBnxOBxyOMak1vI7jxr67GCf97LcCbBU3vrdqkwKd\n7i5vO0MZF9b8EoAvzjn/bpn6GIBHtudHAPxGGf/hcSHvBPBH8+Kr0ccBvGuMcde4+IvQu7axJXGF\n4LqAYgBVXEKkQLuLUUmVwMOdp0CBz2UQcJ2MfXSS1qiYq9g6P11slf66PnX29KzOSUCgdCmQVWwn\n+cdjyk81r4TBLLETZ59iPcdmJq8ywv0A+H5cfJ15GsBnt5+HAHwngE8AeA7AbwG4e1s/APw8gC8D\n+DyAB4uuHwVwa/v5kYWzZ/0Zl/iLAc+P8eq/SvDa9J7OXl2b7Ov2JP0qVk6n8rM7l3+6c12cD4mT\ns9nFLPl2qE8ph7q7W7mrlVg6XSu2pnuhNUf7K884NuU5pmxO78/fGmeEVp9pXR0TZ35rr1uv9Ckb\n2Y5kSyfOz85fNc7+djFRcykGqus6xpbuxulwNil/OH6sR8Wq03uZ81yuqPtU+lXclG5lT9q/jT01\nt99ZXlVuxL+UBcDM5VVzu6ikqVTUJdX+2Z1RL4yTnm38FmoLMNzH1ZlKhzuP9ytfuDB5DT+rtVWP\nAjQXd2Wbims9j4skgbbay+c7/1Qcqq91Xp2v1vIZKyDEd+R85PzluPB9JLKgYnsMuTGAoooiFWtd\npxKjvrvgdhfmuk79VHuSf6qzdQwmgZpKLFegTqeyjfVUf53ulMTOxsSY1Keyo9quilKxg9RY+CwX\n75ViVc3HNQcV25WGxJJq4qpy8v9xIOA7qeqUqrslqrs/79JRSh5zHYPPc8nFF79KWZ29Tn8nLjZu\n7UqMq64OoFwzSECj2Fpdk0CF7eji6OxmcbnJOlyDrHvUvsTeWFdiOqz3WHJjGMouHPAueLukTqwu\nJ3WMagc/q/d9r2Ip3C1SAbnEdCwtAWgXDzXv5hyYsB/8o/xVtqWuzWdwwdazVm2uNtax9OmaTjrT\nFbna27EOtY/9UGC22nBW5UYwlF1UEqiE3McVHVVrecyBhWMmas6xlxXgUx19JXFd904x2wvYFYrz\nUdmy0jndnJrvbFE2OR9dZ09MlIX97hqOO8P5q94TU3H+1Tt1jW6lCVxGbgRD4a6rOr1C8ITYfOFq\nbwcchxQTr6ljbq6Oq8JPAMnxcFTbgZ1LuATgrmASsCqAVDHg947Ou9is+Fj1K79cXiigdveaQCIB\n0ApQKZ84RmzvseRGAMouroNxAqxQOket3VmrSK+ScR9XBc66UvKyHXWNK2juXMrOqtf5wyCeuqez\nPflQ51IXdfrqHgVSqojUuxpX8XB5pRqbY52sW53HYwxUCvg6UFYxPpbcKEBxF6QSYzWRXSff16vC\nUTZVuxLyq+RXNib2lPxiNpNYTV3L/jjw7mJQ99Z4cCGkIlLgx36qfVxMjpU4xuP0r4CtskkBrAKt\n1IQ6//kOHfg6sDw2S7kxgOKQeZ9zz5zcVVLCuiJM5zldrG+lS/KcK2znl1qvYqGKm4uZwXv/TExC\nvSv/0rwqVgdeqjE4/S5eyicFzGpvahIdyCkQcXa5+Lgm6vak9VeRGwMoqcAB/cu1FbZQdbN+RV3V\n+vqskqtjRny26lz1/P1ZdX9FZ7noVsBAxcB1QzeuAFqNK9aWAM/pU5/qLlJDUJIYII/XOLmY8vrO\nppTb6gzHwHYd1yk3BlCAXLyKbaiEToFNCaA6dUpGpV8ljrJTdd3ko1rXFYpK+uR/fU8MkZkNn8nn\ndDF0seEzuq6bmoA6kwHN5V7yXdm3ytAUm6ziwGkFfBPjuqqcPKA4ilglJS53qZTwbj/b4s5V4y6h\n+N11anW2SnK1Vtlff1wBsp085+Lg4qFYk9pfz+58dywmFZTySdnWFXDH6pw49uD87GLVjas8TLE4\nhpw8oOyiAsxF4UBCJVvqkqnIXOErAFCdYyVJkr3qrGofr1V6VgshAXdXdPyuumLqvgosuPDdPVT7\n6n051qQaiIqJA2IFSgmkHDN1Rc82uDlna1pzbJZy8oDiimp/58JNgXTJ4sCK51Y6yL4uAWB9d10r\n6d/PV/Y5qu6YTwI79c4sj8+tcXMgonzk585n9t+NqVg4pqLOUj6pc51t7Jf6YXH3Wc/tcq9rmNcB\nJsANAJRVSuZQXSWqKtaVLu46iNPLelwyqKRTwn5wZ3Qg5BKadaTu7dgOf3bgnLpwZ/9q0TvgVmv5\nbBX76pcrTrZf5U9d3zUnx4Sq7hVg6Vjhan2tyskDCqB/OcrPvC6NdfoVhe1oruqUdb8CGu7iqqA7\nexNIVtuU3UlSoroCVZ1vBSCVP8r+1FEV0CUbkn/VlzrGhdwxDD4/+VIBS61n/YqxuKbC83XfsVnK\nyQNK6g6uiFzH5wRJnSV1YjXuLtNdoAKjRMGZXjtarJKe7UiMyHVYXusSkW2rtqgzlP9d96460xyP\nOUkMzeWXyhl1v+qsVYbh9lU72Cbnh2KPxwYT4AYAyi4u8fdnxVxSEqWkqDrVWNc1U7KzvvqZumhX\nwKkrdmxDncfruIMqu7uvDfyswDABD8c1MY+u+Jx+VXQJ8BSwq/ixDWosgZFbxza7hsa28tix5Mb8\n18aqq+3vbr0DoC7x3V4eU8ncJUVNAEdPE2tQ887/ajOf61hbAu2UuO5+6lh9V2cpkF8BbwVQbk0V\nVaTune1Jd52KmH1JecLzDgj5mdeqxpn8vIrcCEBRHTIFVV0WB/jQQKozVuiqS0Du6tXOVCQOIBxz\ncgnHcejOq7pWANfpZDuVpEJ39qs5N+aYiFq3z3GRd8wiNS3Wke6xrncgznbwWGqI3V0cKjfiK4/q\nUK4YdlG0uGMQVXei1s6Oekb9cf4oHV3HdUm0yjqSqJhwkTh7OkbiYrnrSPfiAGy/o3pX6jPdg4pb\nnVd+qvFks2MbCtDqnMpBl3vqDMVS1XnHlBsBKID+vlvFBVwl3Aqz4MvqkiKBG9u56ms3Vufqj7Jr\nlZml9YmJcFwdc1DPriGku1JNRo13gOz0qvcUu8QO3XNqNir/VhpE11xXbLiK3AhAYToI6CR2RV8/\nWQ4JqCpI7jTV3moLU2Zle6LlqVA4CVcBk4FSUe7UVRMLUCzJ7a/6uwJmqp70KzvqONvSMQrnl7OV\n9dZPF+fVRsTNUjGelAvVvmPKjQCUXdTFpATkYKu1DqRcx3Xgkehr3cfFl8BPAWmyoc45esx21PmO\nxag9aj0XkQKljsEwWKTE53ixHSr2HA/17O5O3Tnbwu/KLrdOgYs7q/qhAF2d7ew6htwIQEkJw11/\nX8/J7rqjKm7e40Crm3M21fWqa9W5WgSuwBSTUdJ1I5d47lz2kZ+dDV0Sc/dmG1XXT3Mq9hyvjjk5\nEOga0Iq+xHqc3VUSsDl25PZdVW7UX3nqO4sKlCs0t9Yl8IptDHoOeFa62spcOq+OO5bVdbPEWFRM\nHRNMBeBipEA6Acdqd67i9jrpGBWPdcDu5p1f7vx0904cQB5DbgSgMM1UTEBdQqJ36jl1mC4xWboC\nUZWLGWoAABTISURBVPTaFag7p7NLUfSr+JG+grjuvwK06avEynp337ynzvHelfxhFpNAZoWpuXPV\n/o5dudy+3dJ+5Rlj3DfG+O0xxhfGGM+OMX58G//AGOPFMcZnt5+Hyp6fGmPcGmN8aYzx7jL+nm3s\n1hjjsRUDHSgwxXRonfS6olDUttqSnl3h1gRxxeVsUXSV/aj+JHqrkq9jT84/dwfVBqXX3ak7S92V\nKsDdF7e2ayLKd6eD81CB6P68ApLqbN6fwIVt6QDt2kCHDecfAPcAeGB7fgOA3wXwNgAfAPCTYv3b\nAHwOwOsB3A/gywBes/18GcBbALxuW/O25uz4/2A/zP97fRrnz7Q3nc3rO73JNmdnd46zt/PbnaWe\nuzE1t2pTd0/K93SX3Z5uPPnt7izFpItxF/cuRml89Y639yc7HFj9ab/yzDlfAvDS9vwnY4wvArg3\nbHkYwEfmnH8K4PfGGLcAvGObuzXnfB4Axhgf2dZ+oTk/Ul2F8A593frNnld1SqaUqsvU7uEYzq6D\n55Qtzldnb7WL9+1jbLvqpmyb6oKJSahn51Nd5zqoigPHwtnQxUx178QCHYNw57r7qPF2sXB3yDan\nHFMx6N6PJQf9lWeM8T0Avg/Ap7ah948xnh5jfHCMcdc2di+Ar5ZtL2xjbrw781vPqsBUYqqEqQmp\nCsp9qnNdUrszeU+SVDD1fLZPgWHytRYpiyvU6pOywelTPjmAVcWYfFYA0ImLHdu1Eh+nP9mlGlS1\ni++tjrG9bLOKi8qP65JlQBljfAeAXwXwE3POPwbwCwC+F8DbccFgfvYYBo0xHh1jPDnGeBLwXZQv\nu+uSjm2wHvesOoc7W12kAh53yS5xWDrbXUfnZO2KnGWlO6o5TnRVNHWNY1Yp/qnzsr8dmDlfV3Iw\nNT53Lu9lUFMgV/VxTq/E4djgsgQoY4zX4gJMfnnO+WubUV+bc35zzvmvAfwivv215kUA95Xtb97G\n3PgrZM75+JzzwTnng9vZUJ/Ftlf9JFEsw/j8Kv0puVQSriab2nMIIFQdiV04AFPMjxPZgYjqnKm7\nq1ioz7Qv3Z2zs2NdTneXUyqm9VPdewdoSr8DZdcoOzBeaViXkZW/8gwAvwTgi3POv1vG7ynL/jqA\nZ7bnjwF47xjj9WOM+wG8FcCnAXwGwFvHGPePMV4H4L3b2ihd8nAib7Z1PtnAsi4+w7GUTlTSugRS\ntNWJSlgHTrxOsTXW4+Kv9iqgrOsSwLp48Phln1dYQRUFkGqdA2bHAjgenGe81gFEah6O4bHeY7MT\nYO3fofwnAP5bAJ8fY3x2G/vvAfyNMcbbAUwAXwHwNwFgzvnsGOOjuPhl6zcAvG/O+U0AGGO8H8DH\ncfEXnw/OOZ891GAVLHf5vDYFPRVCApy6duUiqx7XrZy/zlZem2xV4y4W7jnFIbGSVOj8nthUXa/i\np+65nssAoYpfxcad4wCa9TKQqDxVcVPP7JuKm/pUeo4p4zqVX1XGxZ+0LHUU6w9a54oIyF9h1F7X\nSXZRSbNavAlEusJkf539TlTn5vlU9N09pXizft7DvnTrD4lBAljncwLTTreL54oPzp8VHdv7U3P7\nFcNV5Ub8tzxV3CUAOXD8WedTx+8Kvn7yc+oS9Xxl2/7OnY3nlB4VlwQMHZuqPqlur3w+9J7YrhXm\nVp8TC6l21b2cH6kRKBDpbKr2qPur0vnrfK73wv44v+v7sQnFjfun94BOdpWsKliuY9Y5t89delco\nqWOsXKhLdDe/6jef4Yq0YxlKFFinsbRf7Vmxe5+vc6xP6U+sS61xtnVgmMDJnZnGeW7Fr9UcXJUb\nAShA/t0Fd/GVYlD6HQthG1bXsW6no9q02jVWaH9ibAk8Wb/zOVF3tktR8xQHZWMXd+cbd232qQMP\nl0/MLJWeFZvVvIurA2jHsFbA8ZhyYwBlBW0Bn8RMETv9XTF2Xy/cJTp9Lqk6G1JBO2BRwrqcj6m4\nEjPqmIqi7+psHtv1dcDYgelKZ+fnBBgqRi4nk91qL887sHb7D21eh8jJA4pjGnypak3SkS7SJUE6\nTxWtusQVOx1N77odn+tAK+3v9K8wMgd0KY6XYTGqyFxBuwag7O+YRj2rY0kOhFOeuTg4O1dygs9I\n4HMVOXlAWWUDPKfmU4et8/zuOhLrVF2nYz3KV3VOlyhuzHVBx35c8qqx1XtQ/jk/Egvc9aYCSmO1\nYB1YKlsdU1P27/OJDSmfGZy6ZrTSDDoQS75cVk4eUKq4DlclJYq7DNfNUqC7wlA2s+2JFidgSraq\nIu+6+yrwOnbChepYgbKT9bpYuDi4c9R+1QiUbVWnYxIO2FzDSeKanGowKpddjFzjU/4eS07+z8aK\nAXRIzglWmQP/7PP7PsU0HJA5xGddPO8KvWMLXeGwrx1wOklds+riOReb6hvb4WKgznTrqp6VYmZb\n2S4VS2VbvcsO2J1/6d55LN2pek6g6BryVeXkAYWRmOc6lpJQWXUoZg+uEKrujpJ2Z7KtXcdOAOeK\nhP1jUaDKOhxYpM7JAJ2AqmMf6gzltwJOFaOuYztwq58uPx0oONBwzaNjOI4lsTiwPjao3IivPCoJ\n6ziPAbmruy6WOtr+6bq8Sl4HbKqL8eU60FC6uIuxzcqf5EdiCS7mq8WZzq5jiil2xaPi4HJHnaf0\n1HcH1o4d8Zza39nlwEh98v4Ut+78y8qNABTg8F+opj2KAXSJrvTV90RLd+kuM807UFGFxzYr/cln\nV7hcmAl4lI3KrwSyTq/zQYGAAwx3fhXHFLtGlu5BNQ6OTXf31R7FbBzbUb4dG1RuBKCoonXIfBkU\nPiSoDox4bqWL1rnU4buOnkBD2beSTC7p63vV27E79tN17lSQDszcfTtQUgXLNnZAxLYpn3lshT26\nHFrJzwqs9dx018dmKCf/OxTXsdx7V6gOgBRA1QtynbTOdx1fibLdJb9KGNaj5uoaV5jsa1dwihUk\nnd0d8dk15nzmrmu1QNydJltW9bJNHUt0okC684HtqPFNupw/x5CTB5SumLg43AWrTpM6tWNAvOZQ\nytglnCtWVeCuYyfpGAPbwLpV8rItzrfkK9vnbHV63bnqHlXxM0BVPxngVOOo84rduTzp2KfyITEq\ntj/5tpozh8jJAwqgvxu7gCRqW+f5kpS+ju6qi3QMhtfzecqn1a8D3fnqnfekBEsA1unlguwYBJ+p\nznWsSt3XITHkIlT2qLtUz4f66+xXgJT2Oxbo2OKxQeXkf4fiipovLTGFLnhdd1CffKZLQPalY07O\nH7W387vawQnK8VNg4RiCuof66ViP8tf54+LAfnTimkpqNnWfA5gEXqnRJHHnObaowNGBSorlMeVG\nMJTuclxyOSDhjsLiOlVKON7rOr4qTpesHUPax12HT8nGRcx72e8V8GJxdin9nT+dH04SsPN+7uJd\nk3LMyY0p1sJ56PJYAW/KJWXPKlu6itwIQHH03XVWFtU99/Ur1H3XoZ6dTaogXTGrJEu+sa5UNI5h\nVT9ScbG9dWwFlFRR1f0O9BTIOpDmdWosneXGOH4cJzXnWF2NSbIvsQiXV7yOZRV8jyEn/5UH6BmK\no8jqout6tbfTr+htZ0PVw7atvKfi7piLWuf8TYyuimM6/O4YCj87Gs+xSICXGJm7z7Ruxa+kV4Gp\nW8O6OI+Ufy6HnazUxTHk5BlK6nK8rorrhK7LuQJO+h3QOQBKfqmEYl9T4qfu6wAi6VFFlwohFXNd\n44pstXBXOzbbzee6u2GWwLlTbUt5ooo2sRiVC64ZqvOqPhcbFdtjs5aTB5RU6O5C+TLrfnU5DqU5\nGfnC3PrOxnqxNZlUgilW5M5i3RwTZY+LQe2Kjj2xDgUiLOzLIQxO+ce2JP/SPasz6z6118XVMSs+\nh+1jPY6FcS6nPbxfxeiYcvKAosSxkbSuu4iVc5SoJEk0t+5L6xyjUcmuEpSBkJMxxYxBzNnCMVC+\nuzO6bq9i1nVsvgMVM2dPFdcUVs9l3xRIJR0szpfE9JK9jp0dQ07+dyiucypRCeX0uDEed0yEO22i\ns+msFZuVz4qBrBSO61rV5tXzE3ikrwNJt4ptXc/AyGPOXmWbA3r28dC4Ons7UU0pNUIVpxTPjmEf\nQ24EQ+EO5i6vvnPnc52fO7g7113YrjPZ5L6mVDurnkM6fsfOajdKwKf2Jf9q52VW485PdvJZ9V7Y\nV9X51X2ru1O+1efLsjHV9Veaygob6ux0IOyAzN39MeRGAIpK1pWiW7nAlAh81soFuM6sCmBfX4sh\n0eAVNrHPrXR+BWguDslfF68UExXTFXDkMfbPARyf4Qp2BTz4vM7+CpD1nc/nRphsqjoYTFUusJ8q\nBseQGwEoKiAuofbn1e7QAQCPK0rK+lcKqtrMxc3nM6ipNTyn/FOFrxJXjaek7YBbxY195ZgoPbUw\nXaEooHLNyN29Y0Wr+9kPB+RKHKtg/Qw+VX99V3d4nXIjAMWBgisq7rz7uLvkfV6tY31dF3J2JoaV\nioHfV5JN2cbzrgMqe3m9OjMxJmeTuwtlg2N4zseOde6fCiy7JsH7GeQ7XxObcLFIQMrNyPnM/l0H\nuJw8oKiuVAOiOp1Kjqqv7lVzVUfV6wrf6XLsYNelErArpGpHKnBXnKrwlB2OYag4uzgl+5SkBqDm\nFRtgfal42a4ORB374YKuZynbWKdrRGrM2ameXS5Uu44NKi2gjDH+whjj02OMz40xnh1j/E/b+P1j\njE+NMW6NMf7BGON12/jrt/db2/z3FF0/tY1/aYzx7kMMrRfnOjyv4bWpMFIBusJX57s1uy71yevV\nmepZgQAnaNWZCtSBVt1bbat7FKgrv9WzioEqMNeFeZ3yi8cVY1B+sl2uMNV6J9U39cy6VIyS3jSv\nmkgC+EuJK8ISwAHgO7bn1wL4FIB3AvgogPdu438PwH+3Pf8tAH9ve34vgH+wPb8NwOcAvB7A/QC+\nDOA1zdlz/xljfOtz/+H5Ot6917FVvbyW7XJz3U+yq1ubYpP8WbH5ED95n3pe9edQHU7nyj0kH1xM\nOrtWcm01Bqu63JqUS2X/kx0OrP60DGVeyP+7vb52+5kA/jMA//s2/iEAP7Q9P7y9Y5v/z8cFfD4M\n4CNzzj+dc/4egFsA3tGd7xBddd7Uteq40pM6N9vD3UnNJV+q3c52pUd1MdV5+J3tY5/deVUSo3M2\nKlvZh+5sF++qs45VnY45qb0uTm6/0lF1JZ9WmFzVo3S5fK32K1tq3rGeY8jSP2wbY7wGwFMA/j0A\nP48LdvEv55zf2Ja8AODe7fleAF/djP3GGOOPAHznNv7JorbuqWc9CuDR7fVP55zP7HNdYPl95Tnp\nMuPfBeAPVs5dtW1VjP/fBeAPLrs/rUn213fa8wp7DtG3oHt5nu055H7S2kPuLdj2XXNOGaNDdaWa\nWKmXTf5ya8CiLAHKnPObAN4+xngjgF8H8O8fywBx1uMAHgeAMcaTc84Hr+usy8ip2XS2J8up2QOc\nnk1jjCePpeugv/LMOf8lgN8G8B8DeOMYYwekNwN4cXt+EcB9ALDN/zsA/kUdF3vOcpaz/BsgK3/l\n+e6NmWCM8RcB/DUAX8QFsPxX27JHAPzG9vyx7R3b/D+dFzzrYwDeOy7+CnQ/gLcC+PSxHDnLWc5y\n52XlK889AD60/R7lzwH46JzzH40xvgDgI2OM/xnA/w3gl7b1vwTg748xbgH4Oi7+0oM557NjjI8C\n+AKAbwB43/ZVKsnjB3t0/XJqNp3tyXJq9gCnZ9PR7BnH/i3vWc5yln975eT/pexZznKWmyNnQDnL\nWc5yNDlZQBljvGdc/BP9W2OMx27juV8ZY3x+jPHZ/c9pY4y7xxhPjDGe2z7v2sbHGOPnNhufHmM8\ncCQbPjjGeHmM8UwZO9iGMcYj2/rnxhiPqLOuYM8HxhgvbnH67BjjoTIn/xOLY93pGOO+McZvjzG+\nMC7+c5Af38bvSIyCPXckRuNO/ucy9V/jncoPgNfg4h/PvQXA63DxT/bfdpvO/gou/uFRHfsZAI9t\nz48B+Ont+SEAv4mL/zzhnQA+dSQbfgDAAwCeuawNAO4G8Pz2edf2fNcR7fkAgJ8Ua+V/YnHMO8XF\nHwoe2J7fAOB3t3PvSIyCPXckRriD/7nMqTKUdwC4Ned8fs75ZwA+got/un+npP7nBPyfGXx4Xsgn\ncfFvc+656mFzzt/BxV/IrmLDuwE8Mef8+pzzDwE8AeA9R7THiftPLI52p3POl+ac/2x7/hNc/DOG\ne3GHYhTscXKtMdr8vCP/ucypAsq3/vn+JvKf6V+TTAD/ZIzx1Lj4zwAA4E1zzpe2598H8Kbt+Xba\neagNt8O2929fIT64f7243fZs9Pz7cNGF73iMyB7gDsVojPGaMcZnAbyMC6Bc/s9lANT/XOYge04V\nUO6kfP+c8wEAPwjgfWOMH6iT84IL3tG/tZ+CDQB+AcD3Ang7gJcA/OztNmCM8R0AfhXAT8w5/7jO\n3YkYCXvuWIzmnN+cc74dF/8i/R24xv9cpsqpAsod+2f6c84Xt8+XcfHfLb0DwNf2rzLb58t3wM5D\nbbhW2+acX9uS9l8D+EV8mwrfFnvGGK/FRfH+8pzz17bhOxYjZc+djtFmw+39z2UO/YXP7fjBxb/g\nfR4Xvwjafzn1V27DuX8JwBvK8/+Fi+/U/wte+cu+n9me/wu88pd9nz6iLd+DV/4S9CAbcPGLxt/D\nxS8b79qe7z6iPfeU57+Ni+/aAPBX8Mpf5D2Pi182Hu1ON18/DOB/pfE7EqNgzx2JEYDvBvDG7fkv\nAvg/AfyXAP4hXvlL2b+1Pb8Pr/yl7EeTnfHs6yrOIxTUQ7j4bfmXAfyd23TmW7YAfg7As/u5uPg+\n+QkAzwH4rT3ptkTa/+ccPg/gwSPZ8Su4oMj/ChffW3/sMjYA+FFc/CLtFoAfObI9f38772lc/Hda\ntXj+zmbPlwD84LHvFMD34+LrzNMAPrv9PHSnYhTsuSMxAvAf4OI/h3kawDMA/oeS35/efP2HAF6/\njf+F7f3WNv+Wzk73c/6n92c5y1mOJqf6O5SznOUsN1DOgHKWs5zlaHIGlLOc5SxHkzOgnOUsZzma\nnAHlLGc5y9HkDChnOctZjiZnQDnLWc5yNPn/AT0HcVM+OZYwAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd8f328c240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = int(data.shape[0]*data.shape[1]/2)\n",
    "seed(777)\n",
    "space = concatenate((randint(0, data.shape[0], N)[:, newaxis], randint(0, data.shape[1], N)[:, newaxis]), axis=1)\n",
    "\n",
    "uspace = zeros_like(data)\n",
    "uspace[space[:, 0], space[:, 1]] = 1\n",
    "\n",
    "imshow(uspace)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fd8f30ec438>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARQAAAD8CAYAAAC2EFsiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWVn5/3jOnIjEaN5VAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9602a2e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dots = data * uspace\n",
    "\n",
    "imshow(dots)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'numpy.ndarray'>\n",
      "(10116514, 3)\n",
      "rows=10116514\n"
     ]
    }
   ],
   "source": [
    "dataset = vstack(nonzero(dots)).T\n",
    "\n",
    "dataset = dataset[::1]    \n",
    "np.isfortran(dataset)\n",
    "print(type (dataset))\n",
    "print(dataset.shape)\n",
    "\n",
    "rows=np.shape(dataset)[0]\n",
    "print(\"rows=%d\" % (rows))\n",
    "\n",
    "dataset = dataset.astype(float32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 11.7 s, sys: 2.92 s, total: 14.6 s\n",
      "Wall time: 14.6 s\n"
     ]
    }
   ],
   "source": [
    "# Fit an H2O4GPU KMeans model for 21 clusters with 300 iterations on all available GPUs.\n",
    "import h2o4gpu\n",
    "\n",
    "model = h2o4gpu.KMeans(n_clusters=k, tol=1e-7)\n",
    "%time model.fit(dataset)\n",
    "asses = model.predict(dataset)\n",
    "cents = model.cluster_centers_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmkAAAJDCAYAAABQRoOCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+l3S5yS/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fd9602422b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the final clustering\n",
    "np.ndarray.flatten(asses)\n",
    "step=13\n",
    "rcParams[\"figure.figsize\"] = (10, 10)\n",
    "scatter(dataset[::step, 1], dots.shape[0] - dataset[::step, 0], c=asses[::step], edgecolors=\"none\")\n",
    "scatter(cents[:, 1], dots.shape[0] - cents[:, 0], c=\"black\", s=40, edgecolors=\"none\")\n",
    "xlim((0, dots.shape[1]))\n",
    "ylim((0, dots.shape[0]))\n",
    "axis(\"off\")\n",
    "savefig(\"sourced.png\", transparent=True, bbox_inches=0, pad_inches=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "env",
   "language": "python",
   "name": "env"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
